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Finding the Fourth Proportional to 136,852.34, 188,849.01 and 77,232.50

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Solution

The fourth proportional to 136,852.34, 188,849.01 and 77,232.50 is: 106,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,852.34 : 188,849.01 = 77,232.50 : x
  2. Step 2: Convert to fraction form
    136,852.34/188,849.01 = 77,232.50/x
  3. Step 3: Cross multiply
    136,852.34x = 188,849.01 × 77,232.50
  4. Step 4: Simplify right side
    136,852.34x = 14,585,281,164.83
  5. Step 5: Solve for x
    x = 14,585,281,164.83/136,852.34
  6. Step 6: Final answer
    x = 106,576.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.